16648628044032 has 324 divisors, whose sum is σ = 49748414261364. Its totient is φ = 5354516643840.

The previous prime is 16648628044031. The next prime is 16648628044049. The reversal of 16648628044032 is 23044082684661.

It is a happy number.

16648628044032 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 8 + 628 + 0 + 4 + 4 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155412562176 + 16493215481856 = 394224^2 + 4061184^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16648628044032.

It is not an unprimeable number, because it can be changed into a prime (16648628044031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5334387432 + ... + 5334390552.

It is an arithmetic number, because the mean of its divisors is an integer number (153544488461).

Almost surely, 2^{16648628044032} is an apocalyptic number.

16648628044032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16648628044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874207130682).

16648628044032 is an abundant number, since it is smaller than the sum of its proper divisors (33099786217332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16648628044032 is a wasteful number, since it uses less digits than its factorization.

16648628044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 16648628044032 in words is "sixteen trillion, six hundred forty-eight billion, six hundred twenty-eight million, forty-four thousand, thirty-two".